On Bousfield’s conjectures for the unstable Adams spectral sequence for $SO$ and $U$ by Nguyễn, Thế Cường

“…The unstable Adams spectral sequence is a spectral sequence that starts from algebraic information about the mod $2 $ cohomology $H ^{ * } \left(X \right) $ of a space $X $ as an unstable algebra over the Steenrod algebra $\mathcal{A}$, and converges, in good cases, to the $2 $-localized homotopy groups of $X $. Bousfield and Don Davis looked at the case when $X $ was either of the infinite matrix groups $SO$ or $U$. …”
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